Electron-phonon relaxation in pure metals and superconductors at very low temperatures
- 15 September 1989
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 40 (8) , 5411-5416
- https://doi.org/10.1103/physrevb.40.5411
Abstract
The electron-phonon relaxation processes in pure metals and superconductors are considered at low temperatures when electrons interact with both longitudinal and transverse phonons. The screening of the electron-ion interaction is treated in a gauge-invariant form, so that both longitudinal and transverse electromagnetic fields are taken into consideration. The results obtained are applied to the analysis of the heating effect of the electron system. The interaction of electrons with transverse phonons increases the electron-phonon relaxation rate by a factor of ≃15 in comparison with the case when only longitudinal phonons are taken into consideration. The peculiarity of the screening effects in a superconductor leads to the conclusion that at low temperatures T≪Δ transverse phonons do not participate in the electron-phonon relaxation processes.Keywords
This publication has 8 references indexed in Scilit:
- Stochastic cooling of solidsPhysics Letters A, 1989
- Effective electron-electron interaction in metals and superconductorsPhysical Review B, 1989
- Hot electrons and energy transport in metals at millikelvin temperaturesPhysical Review Letters, 1985
- Quasiparticle and phonon lifetimes in superconductorsPhysical Review B, 1976
- Interaction of long wavelength phonons with conduction electrons in impure metalsZeitschrift für Physik B Condensed Matter, 1975
- On the dynamics of electrons in an impure metalThe European Physical Journal A, 1974
- Electron-phonon interaction in an impure metalThe European Physical Journal A, 1973
- CXXII. Ultrasonic attenuation in metalsJournal of Computers in Education, 1955